Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions

2003 ◽  
Vol 44 (10) ◽  
pp. 4467 ◽  
Author(s):  
Shi-Hai Dong ◽  
Guo-Hua Sun ◽  
Dušan Popov
Keyword(s):  
Group Theory ◽  
Dirac Equation ◽  
Scalar Potential ◽  
Theory Approach

Dirac particle in electric field with confining scalar potential on (anti)-de Sitter background

2018 ◽  
Vol 33 (34) ◽  
pp. 1850202 ◽  
Author(s):  
N. Messai ◽  
B. Hamil ◽  
A. Hafdallah
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Electric Field ◽  
Scalar Potential ◽  
Dirac Particle ◽  
Wave Functions ◽  
De Sitter ◽  
Sitter Background ◽  
Position Representation

In this paper, we study the (1 + 1)-dimensional Dirac equation in the presence of electric field and scalar linear potentials on (anti)-de Sitter background. Using the position representation, the energy spectrum and the corresponding wave functions are exactly obtained.

Group theory approach to scattering

1983 ◽  
Vol 148 (2) ◽  
pp. 346-380 ◽  
Author(s):  
Y Alhassid ◽  
F Gürsey ◽  
F Iachello
Keyword(s):  
Group Theory ◽  
Theory Approach

SOLUTION OF THE DIRAC EQUATION WITH POSITION-DEPENDENT MASS IN A COULOMB AND SCALAR FIELDS IN A CONICAL SPACETIME

2013 ◽  
Vol 28 (31) ◽  
pp. 1350137 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
V. B. BEZERRA ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Cosmic String ◽  
Relativistic Particle ◽  
Energy Levels ◽  
Scalar Potential ◽  
Scalar Fields ◽  
The Self ◽  
Dependent Mass ◽  
Scalar Potentials ◽  
Position Dependent Mass

We consider the problem of a relativistic particle with position-dependent mass in the presence of a Coulomb and a scalar potentials in the background spacetime generated by a cosmic string. The scalar potential arises from the self-interaction potential which is induced by the conical geometry of the spacetime under consideration. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle. The behavior of the energy levels on the parameters associated with the presence of the cosmic string and with the fact that the mass of the particle depends on its position is also analyzed.

EXACT SOLUTIONS OF DIRAC EQUATION FOR A NEW SPHERICALLY ASYMMETRICAL SINGULAR OSCILLATOR

2010 ◽  
Vol 25 (33) ◽  
pp. 2849-2857 ◽  
Author(s):  
GUO-HUA SUN ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Vector Potential ◽  
State Energy ◽  
Energy Levels ◽  
Scalar Potential ◽  
Bound State ◽  
Wave Functions ◽  
Bound State Energy ◽  
Exact Bound ◽  
Spinor Wave

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

scholarly journals Plasmonics of regular shape particles, a simple group theory approach

Nano Research ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1597-1603
Author(s):  
Sarra Mitiche ◽  
Sylvie Marguet ◽  
Fabrice Charra ◽  
Ludovic Douillard
Keyword(s):  
Group Theory ◽  
Simple Group ◽  
Theory Approach ◽  
Regular Shape

scholarly journals Dirac equation with complex potentials

2014 ◽  
Vol 29 (40) ◽  
pp. 1450210 ◽  
Author(s):  
C.-L. Ho ◽  
P. Roy
Keyword(s):  
Dirac Equation ◽  
Scalar Potential ◽  
Complex Potentials ◽  
Zero Energy ◽  
Complex Scalar ◽  
Exact Analytical Solutions ◽  
Exactly Solvable ◽  
Lorentz Scalar ◽  
Scalar Potentials ◽  
Energy Dependent

We study (2+1)-dimensional Dirac equation with complex scalar and Lorentz scalar potentials. It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically. For the scalar potential cases, it has also been shown that the effective Schrödinger-like equations resulting from decoupling the spinor components can be interpreted as exactly solvable energy-dependent Schrödinger equations.

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